# Zoom Transform as a preprocessor for PARET. [Performs fast Fourier transform]

## Abstract

The PARET algorithm for extracting mode or singularity parameters from a sampled record of transient experimental data has difficulty with data containing modes that are closely spaced in frequency relative to their absolute frequencies. It was felt that preprocessing the data with the so-called Zoom Transform might improve the performance of the PARET algorithm in such cases. This report describes a study carried out to determine the benefits of zooming to mode parameter estimation. The results suggest that zooming can greatly enhance the power of the PARET algorithm for certain types of data and should be implemented as a user option. 7 figures, 4 tables.

- Authors:

- Publication Date:

- Research Org.:
- California Univ., Livermore (USA). Lawrence Livermore Lab.

- OSTI Identifier:
- 5769960

- Report Number(s):
- UCID-18272

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ALGORITHMS; PERFORMANCE TESTING; COMPUTER CODES; P CODES; DATA PROCESSING; FOURIER TRANSFORMATION; ISOLATED VALUES; SAMPLING; SINGULARITY; THEORETICAL DATA; TRANSIENTS; DATA; DATA FORMS; INFORMATION; INTEGRAL TRANSFORMATIONS; MATHEMATICAL LOGIC; NUMERICAL DATA; PROCESSING; TESTING; TRANSFORMATIONS; 990200* - Mathematics & Computers

### Citation Formats

```
Smith, W.D., and Lager, D.L.
```*Zoom Transform as a preprocessor for PARET. [Performs fast Fourier transform]*. United States: N. p., 1979.
Web.

```
Smith, W.D., & Lager, D.L.
```*Zoom Transform as a preprocessor for PARET. [Performs fast Fourier transform]*. United States.

```
Smith, W.D., and Lager, D.L. Tue .
"Zoom Transform as a preprocessor for PARET. [Performs fast Fourier transform]". United States.
doi:.
```

```
@article{osti_5769960,
```

title = {Zoom Transform as a preprocessor for PARET. [Performs fast Fourier transform]},

author = {Smith, W.D. and Lager, D.L.},

abstractNote = {The PARET algorithm for extracting mode or singularity parameters from a sampled record of transient experimental data has difficulty with data containing modes that are closely spaced in frequency relative to their absolute frequencies. It was felt that preprocessing the data with the so-called Zoom Transform might improve the performance of the PARET algorithm in such cases. This report describes a study carried out to determine the benefits of zooming to mode parameter estimation. The results suggest that zooming can greatly enhance the power of the PARET algorithm for certain types of data and should be implemented as a user option. 7 figures, 4 tables.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Sep 18 00:00:00 EDT 1979},

month = {Tue Sep 18 00:00:00 EDT 1979}

}

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